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Simplifying 7x + -12 + 2(x + -5) = 4(x + 17) Reorder the terms: 7x + -12 + 2(-5 + x) = 4(x + 17) 7x + -12 + (-5 * 2 + x * 2) = 4(x + 17) 7x + -12 + (-10 + 2x) = 4(x + 17) Reorder the terms: -12 + -10 + 7x + 2x = 4(x + 17) Combine like terms: -12 + -10 = -22 -22 + 7x + 2x = 4(x + 17) Combine like terms: 7x + 2x = 9x -22 + 9x = 4(x + 17) Reorder the terms: -22 + 9x = 4(17 + x) -22 + 9x = (17 * 4 + x * 4) -22 + 9x = (68 + 4x) Solving -22 + 9x = 68 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 9x + -4x = 68 + 4x + -4x Combine like terms: 9x + -4x = 5x -22 + 5x = 68 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 5x = 68 + 0 -22 + 5x = 68 Add '22' to each side of the equation. -22 + 22 + 5x = 68 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 68 + 22 5x = 68 + 22 Combine like terms: 68 + 22 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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